Finding the Third Proportional to 6,180 and 13,059

Step by Step Solution

1. Step 1: Write the proportion equation
   6,180 : 13,059 = 13,059 : x
2. Step 2: Convert to fraction form
   6,180/13,059 = 13,059/x
3. Step 3: Cross multiply
   6,180x = 13,059 × 13,059
4. Step 4: Simplify right side
   6,180x = 170,537,481
5. Step 5: Solve for x
   x = 170,537,481/6,180
6. Step 6: Final answer
   x = 27,595.06